IM 8.4.9 Practice: When Are They the Same?

[size=150][size=100]Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?[/size][/size]
Priya and Han are biking in the same direction on the same path.
Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after[math]t[/math] hours.
Priya started riding a half hour before Han. If Han has been riding for [math]t[/math] hours, how long has Priya been riding?
Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for [math]t[/math] hours.
Use your expressions to find when Han and Priya meet.
Which story matches the equation [math]-6+3x=2+4x[/math]?
For what value of [math]x[/math] do the expressions [math]\frac{2}{3}x+2[/math] and [math]\frac{4}{3}x-6[/math] have the same value?
[size=150]Decide whether each equation is true for all, one, or no values of [math]x[/math].[/size][br][br][math]2x+8=-3.5x+19[/math]
[math]9(x-2)=7x+5[/math]
[math]3(3x+2)-2x=7x+6[/math]
Solve each equation. Explain your reasoning.
[math]3d+16=-2(5-3d)[/math]
[math]2k-3(4-k)=3k+4[/math]
[math]\frac{3y-6}{9}=\frac{4-2y}{-3}[/math]
Describe a rigid transformation that takes Polygon A to Polygon B.
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAg4AAAEtCAYAAABga+g8AAAgAElEQVR4AeydBXgV1/b2e++t0dtb7y2FFi2Flt46VWq0SI0K1J3SCxUq1HH3QEgIIcSAQAgWwd3dpWiwIsElSNH7X9/zrnQnJyez9wnkzOzzlTXPM8+cmX3OmTXvlvnN2mvvuYhkEQVEAVFAFBAFRAFRoJAKXOT/vZEjR1NcXCL165dkeR3AdkRF9aGEhP6WbUliG+Lj+1Hv3jEhYU+/fgMoNjaBoE9i4oCQ0CcmJo6w2rdnACUm9mdbYmJiQ8CenPKDsoM8O1d9+vaNo19+aUINGjSkDh06UXx8Xv3E5/DwSPriiy/pm2++pT59cL3m+oL6hHz6+ptvKTIyKt//2ar3CQn9KCICtvSzXpaRP8in6Oi+XNfPNb+CraGyp3c02p7Q0CevrqOs2W1/UN5R7mNj40OmbUa7fD51PdhlB/+H+o62J5hLAXAYNmw4zZkzl7Zu/d3qumXLVlq/fgP1jOhFa9aus2oLtNi0aTNt2LCRuoX1oI0bN1m3B/osW76cekVF0+bNW6zbA00mTJhEw0ekWrcH2iC/0tIyaPTosdbtQfmBPv36J9H06TNpy5Zzy69169ZTq1at6PbbK1LXrt1ow4bM3PxevXoN9e4dTXfeeSc1a9aM1q5dR7h+U/3NzNxI06fPoEqV7qCoqN5cz0zf9yIN+jRv0ZpgmxfnM50D9Wn+/AUU0zeO8y2Qnqb/CkYazo9yMyBpUIi0PVto1KgxlJ4+kuuZbX1Q1/v3T+L7Vqi0zZGRvWnZsuUB62Iwykeg/4A+XbqEBZMbqAA4ZIwcRZmZmUE9yfn82f/+7//o6NFjFBuXQEeOHKH/+7//O5+/CdpvTp8+TX/88QeB+k+dOmXVHmjxv//9j7J27aLEfgPo7NmzQbvO8/0jaLJ48RKaMnUanTlzxqo+0Ob06TM0fcZMmjtvHp05Y1+fkydP0YjUNFqzZi3n17mU5+PHj9Pw4cOpQoUK1KZNGy6HKp9+//13euutt6hGjRo0e/ZsLhcqTbfF/4WHh1PJkiXpvffeowMHDljNL9h58uRJatO2PZ04cUJntmfHUZ8AD8nJQwj5ZrN+oZzg/GvWrKH0jJGsk2dCaE4Ee+bMnUczZs4itIuob7YW6AMbADEAarRDthfoEZ/Qn9tnaHUudd0N20+dOk2RvXoH9a814LAxqCc5nz+D2DngkBhS4BAt4OCYnQocpoYIOABecsBhvtWGX4mFG1DqeYIDbqYrV66kcuXKUcOGDQk3fjRO0Dw5OZkqVapEXbp0KRQA4Hfbtm2j6tWr0zXXXEOVK1dm4EDja7OBC2VwsHljRPnB+QGcoQkOZ6yCA/TBQwLAAd6qUAEHdA/gwe7s2f9ZrVfQB+DQq1e0aoqCshVwKKSMyuMg4OAsmICDsy7qaFHAAdrCK3D77bfT66+/TtnZ2dxA7tu3j6pWrUpPPfUUrV69mj096nxOW4AB/gvei9KlS9Nll13G8NC2bdtcGHH6nRfHBBz0Kgs46LVBioCDWR8BB7M+rqYKOJjlFXAw61MUcEDZQ3cdvAQ1a9akrVu30uHDh6lr167cfREWFsY3/kAeA9yAACBff/01FStWjP7+97/TJZdcQrVr16ZVq1ZZ9cwIOOjLj4CDXhukCDiY9RFwMOvjaqqAg1leAQezPkUBB3S7oHuifv369MQTT9DixYtpxYoVdN999+WCBMpnoAX/M3PmTP6Piy++mC666CKGh/Lly1NSUhL3nweCj0DnON90AQe9cgIOem2QIuBg1kfAwayPq6kCDmZ5BRzM+hQFHBBghRtr+/bt6aGHHqJx48ZR69at6dZbb6Vhw4ZxcFigGz7SAR/wTtx4440MDACHv/3tb+x9+OKLL2jPnj3W+qsFHPTlR8BBrw1SBBzM+gg4mPVxNVXAwSyvgINZn6KAA24c8BYMGjSI7rnnHgYIdFlgRMTevXv5Zh8IHPD7zZs3U926dTm2AcCgwAHeh//85z+0cOFCa1H7Ag768iPgoNcGKQIOZn0EHMz6uJoq4GCWV8DBrE9RwAFQgJvH3Llz6Y477uBYBwAEhl9iiHBhFnxv0qRJVKJEiVxvA8BBrVdddRX16NGDYycK83/B/o6Ag15RAQe9NkgRcDDrI+Bg1sfVVAEHs7wCDmZ9igIO6p8xcgIjK4oXL07fffcdBzqiG6MwC4IiGzduTFdccQV3TyhgUFuMsHjyySdp586dVoaPCTjoc1HAQa8NUgQczPoIOJj1cTVVwMEsr4CDWZ+iggO8DpgEqEqVKvTggw/SxIkTCzXRlvJWrF+/nipWrEiXXnpprpdBQQO26K648sorKS0tzcqkPgIO+vIj4KDXBikCDmZ9BBzM+riaKuBgllfAwaxPUcABN394FkaPHs1TS7do0YJ2795dKM8AbjrIGwRFYgjmP/7xD0dwQMwD4AHzRGDoJ2IivFwEHPRqCzjotUGKgINZHwEHsz6upgo4mOUVcDDrUxRwwE0VXQivvPIKPfbYYxzbAL0Ls+B7gAx4KgAGAAfM3fDPf/6TgyTRRYF9pGFeB8RAzJo1y/OpnwUc9Lkp4KDXBikCDmZ9BBzM+riaKuBgllfAwazPuYIDbhYoc5hueseOHfTNN99wfAPeVYGZI+GFKMyCoEhMS40hmOimuPrqq3nuh2+//ZZnjXzuuefoo48+4rgJNZNko0aNPJ/mXcBBn5sCDnptkCLgYNZHwMGsj6upAg5meQUczPqcKzhgZsi+ffvSs88+yyMpbr75ZqpXrx5hmunCdiMALvA/mBny3//+N9111138n3gxFmAC3oVPP/2UvRkTJkzgqatvuukmHvK5du25v4zLrIA5VcBBr4+Ag14bpAg4mPURcDDr42qqgINZXgEHsz7nCg5Hjx6lESNG8E0fcQfdunXjCZoADYX1NuCGM3/+fHrxxRd5FAZmm8QkUPhvvK+iVKlS/NIseDDg2di+fTufp1atWjRw4MBCTSxlvurCpwo46LUScNBrgxQBB7M+Ag5mfVxNFXAwyyvgYNbnXMEBcIAVNw21FhYYYAm+i4BKTE+N+R9wY8b/4Di6LwAlChzUa+uRhnzE6A1MTQ2YOJdzmhUwpwo46PURcNBrgxQBB7M+Ag5mfVxNFXAwyyvgYNbnXMHB/G+FS8UNBx4KlF18Vos/OMADoRb1G/yusHNEqN8WZSvgoFdPwEGvDVIEHMz6CDiY9XE1VcDBLK+Ag1kfG+Cgs8gEDrrfuH1cwEGvsICDXhukCDiY9RFwMOvjaqqAg1leAQezPgIOgfQ5SW3atvd8GKiTVfC0bN68hZKThxDyzddb4/R9t48JOJgVFnAw6yPgYNbH1VQBB7O8Ag5mfQQcAukj4KBTSMBBp0zO8VAEh/iEfpS1axedPZsTV2S+AndTBRzc1df47wIORnk4qG7x4iU0deq0Qk2FbP63oqWioUUf/fQZM2nuvPme9tXrLBdw0CmTc1y6KvT6CDjotUGKgINZHwEHsz6upgo4mOUVj4NZHwGHQPqIx0GnkICDTpmc4wIOZn0EHMz6uJoq4GCWV8DBrI+AQyB9BBx0Cgk46JTJOS7gYNZHwMGsj6upAg5meQUczPoIOATSR8BBp5CAg06ZnOMCDmZ9BBzM+riaKuBgllfAwayPgEMgfQQcdAoJOOiUyTku4GDWR8DBrI+rqQIOZnkFHMz6CDgE0kfAQaeQgINOmZzjAg5mfQQczPq4mirgYJZXwMGsj4BDIH0EHHQKCTjolMk5LuBg1kfAwayPq6kCDmZ5BRzM+rgJDuq9FBiCinzwXXEMNx7fd07IzJHmvJIJoALrM2fuPJoxcxYPhUT5srkIOJjVF3Aw6+NqqoCDWV4BB7M+boID4GDv3r00bNgweu+99+jee+/lV2O/9tpr/DIrvP0S31GLgINSwnkr4OCsizoKfQQclBoFtwApmQCqoC6eHMET0tGjxyg2LpHU2/s8ObHmJAIOGmH+PCzgYNbHTXAACERHR1PVqlXp7bffprZt21Lr1q35ddqVK1dmoMDrtNUi4KCUcN4KODjroo4KOCglnLcCDs66eHJUwEEvM7RB4cSUpon9BoTEzIgCDvr8Qoqb4ICysGHDBlqxYgW/MhuQi5kY165dS++++y69/PLLdODAgVwDBRxypXD8IODgKEvuQQGHXCkcPwg4OMrizUEBB73OAg56bZCCigvX/IUy5TTKAxpzrPiMBZ8BC40aNaKnn35awMFcZPKlQjt5yVU+SfLtQB/pqsgnSb6dCxIc0jNG8tMLLt7miob/0OHD1Ds6hvbt389PUHiKsrUeO3aMDh8+TD179qKjR49as0Nd/4kTJ+j3bduob2w8wQ2tjtvaQpN58+bT+PETrNsDbZBfkyZPoZmzZnOwoM2yjHPDpuEjUmn16jUMNW7Zg3qDFedbvHgxIc4B8HDw4MHc+ozygniIUqVKUYMGDQgxEG7ZU9j/hb2t27Rjj0lhf+PW96Dfpk2badCgFNYR+26dqzD/i/P/9ttqSkvPCBl9Zs+Zy2AOT+OZM2et6gMbUlMzaP36DXTixEmrtiA/kV9x8Ym0c2eWq3W9MGUH38E9ISIyKh/cFHXnIv8/GDZsBK1ctYobXjS+Ntbs7CO0f/8B6tOnD5UuXYZuu+02uv32262usKF8+fJUokSJkLCnQoUKVLZsWbYHn0NBn1KlSvPNyLY9OP9tt1WgcuXKUe3atWnNmjUcJ3PUUnlGHTp06BANThlCS5YszbHlaPDqFq4L4LZv3z6aMWMGjR07liIiIqh69er0/PPP07x589jjoOry/gMHaFByMt1888306aef0p49e63Uc2WP0qdZ85Z08OAh67YgpmrNmrWUkNCf8w37vrZ6+RlxXjg/ys2QocPYHi/P73Qu2DNl6jSaMHESHT6cTUeOHLWqz+HsbBo8eAitXPUbHTp02JotSivogwfezVu2/lnX7ekDm/DA27Vbd/9bfZH2C4DDoOTB1DOiF8XGJVhbo/v0pR7hEXwzvOSSSwjrZZddRpdffrnVFTaEgh1KB7HHuTxAl4svvpjzqnjx4vRVo6+pT0ystfKMuoQy3a59RwoPj6S+feNdsaV7j57cLXHPPfdQpUqVqHLlu+itt96hNm3bU6+o6Nxz4nODhl8wOKAbw3Z9V/o0adqCG1ybbQ/OHdM3nsJ7RlL7Dp043+DVs2kTzo9yA3t6R/e1aovSBzeiLl27c72yrQ/qdqdOXfmegXpmM69wbujRpm0H9k67VdfP5Rqj+8RyG1AkUvD7cQFwSE1LpxUrVlL2kSPWVnRN/P7771SlShW69NJLuYF76qmn6IUXXrC21qpVi2rUrEl3330P4bNNW3BuPElWq/Ys3XvvffzZtj3Q5PGqVemRRx61bg+etOF1uOKKK9gDgqdrPGXDJW+rXKNMp6QMJbx6HN4HPCUF2xbENCAgcvny5TR16lRq164dPfbYY1S/fn3asnVr7vn27N1LSUlJdOutt1K9evVoZ1ZWblqwbSrs/0GfVq3b0t59+6zbcvDQIfpt9Wrq3z+Ju0nRZVrY6wj697Kz+Ska5WbosOHsVQr6Oc6xrUf5VR6HAwcOcpeyNZuys+nAwYPsjcF9C+XImi1/6ojyEhMTS5kbN+Zo40JdP5drRNsH8AzmUgAccmIcMjnICoFWNlb0d+7fv58efvhhKlasGFWrVo1dsFu3biVb66ZNmzj2A43bxo0brdmhrn/Lli18E+rSpRtt3rzZuj3QZNTo0TRoUDJBK2WnjS1unt999x1dffXVVLp0aUpNTc2Nc7BRnnHOEydP0ojUtHwxDsG2Bf2ZCFzDqArUIXRdhIWFUcWKFWnpsmWchu8gxmH48OF5MQ5Hjlip577XnxPj0J778H2P2/jMMQ6bN1NyMmIcTnI/tQ07cE7kF+xBbAxiHKCTLVvUeWGPb4wDypxK83oLfTDBUVpaBm3YkMn9+V7b4H++M2fP5sQ4ZCHGISf+w/87Xu5jRFdkZO9gcgMVAIeMkaMoM3NjUE9yrn+GYA48PT3yyCN05ZVX0iuvvMI37XP9n2B+X+ZxMKsZSsMx0cfYqlUruv7666lMmTKUlpbGN1PzFbib6uZwTFju3xChQcVNZujQodzlN2HChNxRFzIc05zXMqoisD4yqkKvEeqeTACl18e1FAEHs7S4SaBwyjwOzjpdSOCAsoAbHWAAngQAnJrHYc+ePdS0aVMO6s3MzPEiQjEBB+dyo44KOCglnLfQR8DBWRscFXDQa+NqioCDWV4BB7M+Fxo47N69m7p160YdOnSg0aNH08KFC2nSpEn0ww8/0IMPPkhNmjTh+A6lmoCDUsJ5K+DgrIs6KuCglHDeCjg46+L6UQEHs8QCDmZ9LjRwwHCrhIQEqlu3LiGIGAGRTz75JNWpU4eHZSLWAf3SahFwUEo4bwUcnHVRRwUclBLOWwEHZ11cPyrgYJZYwMGsz4UGDmjI0U2xbds29jbMmjWLFixYwPsYx410lBm1CDgoJZy3Ag7OuqijAg5KCeetgIOzLq4fFXAwS6zAAcPoEhL753uaNP/SvVQJjjRr63ZwpPns+VMFHPLr4b8n4OCvSP59AYf8evjvCTj4K+LRvoCDWWgUTNyoN23eTFFR0Rw9j2M2FwEHs/oCDoH0OcmT1GAkiO1FwMGcAwIOZn0EHMz6uJYq4GCWFjdpTMKCWf8wQ2BKSor14YYCDuY8E3AIpI+Ag04h3IgwBTbm2EHbaHsRcDDngICDWR/XUgUczNLivQSY1Oimm26ia665hj7//HOeMMv8K3dTBRzM+go4BNJHwEGnkICDTpmc46dPn6H09JE8/xDaIduLgIOlHBBw0AuPQonx+ZhGGDMj3nxzCapatSpNnz5d/yMPUgQczCILOATSR8BBp5CAg06ZnOMCDmZ9MLNmr17R5i+dY6rMHFlIwUJh5kgERWJY3dy5c+nee+/ldw08/Uw1fkMmphaGjb7R84W8tKB8TcDBLKOAQyB9BBx0Cgk46JTJOS7gYNZHwMGsj6upoQAO6FvE8Lrw8HDCWx8/+OBD+vyLr3hK4XfeeYdfDIbv2FgEHMyqCzgE0kfAQaeQgINOmZzjAg5mfQQczPq4mhoK4ICbM14m9fHHH9MNN9xA6RkZ1LpNO/rggw/4RUbTpk2zFjwl4GAufgIOgfQRcNApJOCgUybnuICDWR8BB7M+rqaGAjhgkh8ERWIa4VdffZWWr1hJEZFR1CsqisqWLUvNmjWjgwcPuqqD7s8FHHTK5BwXcAikj4CDTiEBB50yOccFHMz6CDiY9XE11TY4oAti7969/NIivPExNjbnfe99YmIJnoYaNWpQlSpV2CNhI85BwMFc/AQcAukj4KBTSMBBp0zOcQEHsz4CDmZ9XE21DQ4YabJmzRp+B8Gjjz5KS5Ysod9/30Z9Y+N5auHGjRvTtddeS0lJSRxA6TU8CDiYi5+AQyB9BBx0Cgk46JTJOS7gYNZHwMGsj6upNsEBEJCdnU1Dhw7l2IZ69erR+vXrafWaNdSjRwSDQ3R0NN1yyy300ksvcQCl10GSAg7m4ifgEEgfAQedQgIOOmVyjgs4mPURcDDr42qqTXBAw4G5G95//3266qqrqFy5cvwGxAceeJDuuOMOevjhh+nOO++kK6+8kuFh/vz5ns8kKeBgLn4CDoH0EXDQKSTgoFMm57iAg1kfAQezPq6m2gIHeBswd8OyZct4voaSJUvS3XffTQ888ABvy5cvT/fffz9/vvXWW+nf//43NWrUiPAiIy8XAQez2gIOgfQRcNApJOCgUybnuICDWR8BB7M+rqbaAgdAA+ZuaNq0KU8x/dVXX/EEUHht8vgJE6hZ85YED8OcOXMoLi6OEDiJyaE2bNjAr1N2VRSfPxdw8BHD4aOAg4MoPocQw9OmbXt+YZvPYSsf0c23efMWSk4eQsg33LhtLgIOZvUFHMz6CDiY9XE11RY44G2BW7Zsofvuu49faDVlyhTuhkBjkrVrFyX2G8CAgBs3Rl3UrFmTPRMxMTH8Bk1XRfH5cwEHHzEcPgo4OIjic0jAwUcMv48CDn6C+O0KOPgJ4rcr4OAniJe7tsABQZHwJKAb4sUXX+R5GtCQ+IMDnpLQ+EZFRXEA5YcffkhZWVmeSSTgYJZawCGQPuJx0Ckk4KBTJue4gINZHwEHsz6uptoABzQYu3fvptq1azM49O7dm70IiHvwBwd1DN6J22+/nR555BEaO3asZ++uEHAwFz8Bh0D6CDjoFBJw0CmTc1zAwayPgINZH1dTvQYHNBY4J7om7rnnHl63bdvG3RIKEny7KtTFHzhwgH7++WcqXbo0tW/fPhc0VLpbWwEHs7ICDoH0EXDQKSTgoFMm57iAg1kfAQezPq6meg0OajTF7NmzqXnz5hQfH89dEWhETOCA0RTLly+nJk2a0ODBg+no0aOeeB0EHMzFT8AhkD4CDjqFBBx0yuQcF3Aw6yPgYNbH1VSvwcF0MSZwMP3OzTQBB7O6XoIDygdW3QK4HDFiBJUqVYoaNmzIcKn7rlfHJThSr7SAg14bpAg4mPURcDDr42qqgINZXgEHsz5ugwNuLrj5Hj58mF+vjreootsKkIA030XAwVeNgp9lOGZBTXyPQJ85c+fRjJmz+KbtX758v+vFZwEHs8oCDmZ9XE0VcDDLK+Bg1sdNcEDDjTenjhkzht5++20euou5PDAKB29TRXcVGnu1CDgoJZy3Ag7OuqijAg5KCect6mN8Qj8eLn/2bE7XsvM3vTkq4OCNzo5nEXBwlCX3oIBDrhSOH9wEB5TNQYMGUbVq1ejzzz+nAQMG8MvO3n33XZ4MLCMjg8FCGSbgoJRw3go4OOuijgo4KCWctwIOzrq4fhQuV7hZMaQQ71945ZVXeCZE109sOIGAg0EcIh69sXjxEpo6dZqVt3P6WnfkyBFq1aoVXX/99TyTZlpamufv7vC1B5/dBAc05GvXruUZRfft28czjcLLgDeovv766/TRRx9xF4ayScBBKeG8FXBw1kUdFXBQSjhvL2BwyHRWxKOjoQwOvaNzZmQ0BZ+5LZN/cOSZM3luaLfPrft/5XGYIuDgKBHAYURqGq1ZszZ3SK3jF4N0EI0XJg/DFOXVq1en/fv35/6zgEOuFI4f/MEB7mabC/IS5SY9YyTHsdi0BefODw6nC8TQeG2fxDiYFfekqwKFE+85+B8mGbK0YpplNHR462OxYsXoqaeeookTJ9K6deusratXr6aVK1dS02Yt6LfffrNmh9IAT5h4P0W79h1pzZo11u2BJqmpaTRiRCq7xdG42Co/uGG2bNmSPQ6Yz2JEaiqdPJXzzgFbNqFMQ5vVq9ewRwY3AzdtgYcsMzOT36iKkROHDh3KPR/iIYYPH86jKho0aMCA4aYthflv6NO6TfucYE5L7Y6yE++H2bRpMw1KTuF3Z2BfpXm+/d//uLyg/UlLz2B7PLfBLz+gx+w5c2n6jJnsabRZ11GP8NCSlpZB6zdsoBMnT9rLqz91gj5x8Ym0MyvLk7oeqDzgQTwiMspMF+eYepH/9/FUtHTpMjpw8KC1ddfu3bRp82Z68MEH6dJLL6VrrrmGXc4VK1YkW2uFChWo/G23UclbbiF8tmWHOi9mh8TrtfG2THxWx21toUnZsmWpatWqHKS3d98+a+Xn923beBKsa6+9lmfcHJCURLv37KH9Bw5YswllOjk5hRYsWET79u131ZZ9+/f/+R6TfvTQQw9R8uDBtH3HjtxrR4PWr18/fgX7xx9/TNDLZn3HuaFPy1Zt2W7btqDsrli5khL79We7oKc1mw4cIJx/wYKFlDJkKNtjzZY/7wmwZ+KkyTRu/ATas3cv22fLJtRp2DA4ZQgtXbaMdu3eYy+vfPSJju5La9etZ21stjvIF7R93Xv09L/VF2m/ADgMHJRMPSN6UWxcAsXGJVpZ+/SJpfCekXTvfffRJZdcQhdffDFvARG2Vtjhu9qyw/e8oWQPbIFteK33G2+8SX1iYq2UHZRZlN+Xa79CV119Nd144430xZdfUXSfvlbLNM4P71CP8EjqGxvvqi29oqLpp59/pfsfeIBeeullCuseni8/kN6g4RdUvHhxevrpp6lnRJS1vFJtDPT5tUlz6h2NfLLT7qjz9u0bz+1Pu/aduNzk5JctmxK4vISHR5KyR9lpaws9unbrTl26hlGfmLg/y7M9fWBDx05dqEd4BEX3sdfuqPyAPvCe9ezZi1CWbN5LcW60xa3btCsSKPj/uAA4DB8+gl3xcGfaWhHYBdcq3KmPPvoYv6vhtddeI5srAjTxzoj773+AgzVt2qLO/fzzz9ODD1ahV1991bo2eLK97LLL+NXfLVu1Yve3rfKDt4TiNeTwVOHlYCkpKVbtgQ6Hs7MpJWUILVu2jI4ePeZK3cqpN4c5KPLDDz+id959l1+5juO+eXHw4EH2QpQoUYI+rV+fEFDpm27jM+afaN6iFR06dNi6LdBr7dp1lJg4gA4fznYtvwqrM8oLvMBDhw3nINfC/s6t78GeqdOms9cBgcjHjrlTngtrP2xISRlKq35bbb2ew+ajx44xcG7Z+rv1sgN70HXbLayH/72/SPsFwCFj5CjuGy3Svwbhx+i7QgUGMWUfOcIz4akZ8Wxs0Wd8/PgfhOBIBLrZsMH3nNBHvasCfWq+aV5+Vn2Mw4YN4xs1uk7wjgzoZWvRjaqALrYWL4Ij0deL2Jf69eszSC5YsIDzwf+6ERypYhwQ/wC9bC/oh23Ttj334du2pWBwpL3gY+Qd6hjimCQ4smDJgD4qOHLDhkyOdyj4LW+PIL/y5nE4a5zF1QvLEBwZ2at3UE+lAYeNQT3J+fwZCgTIFu4fNGz+jd/5/GdRfiPDMZ3VQyWBNgAHxBSEMjg4X4E3R90cjom6gRsvgnc/+OADngRq8eLFOYF0frNG4mplVIU5z/3BAWXc5pIDDpSgZhAAACAASURBVKE6quKMjKrwKxz5wUEmgPKTx91dAQe9vtAGhVN5HNDQ2Vpgh4BDYPXdAgeUBXicMKoF0FCzZk1asWIFwzbclIAEjFhQXilYKuBgzi8Bh8D6yJTTeo0EHPTauJ4i4KCXWMBBrw1SdF0V5l+5m+oWOKCR2rNnD8/XgGBHzBbZqFEjaty4MX3//ff0448/0q+//krotsANEWVHwMGc1wIOgfURcNBrJOCg18b1FAEHvcQCDnptkHIhgkPnzp2pTp06vNatW5feeOMNXt966y2GiWnTprGXSsDBXHaQKuBg1gj6CDjoNRJw0GvjeoqAg15iAQe9Nki5kMBBKYEyYVrV97AVj4OvGgU/CzgU1MT3iICDrxoFPws4FNTEsyMCDnqpBRz02iDlQgQHsyL5UwUc8uvhvyfg4K9I/n0Bh/x6+O8JOPgr4uG+gINebAEHvTZIEXAw6yPgYNZHwCGwPtJVoddIwEGvjespAg56iQUc9NogRcDBrI+Ag1kfAYfA+gg46DUScNBr43qKgINeYgEHvTZIEXAw6yPgYNZHwCGwPgIOeo0EHPTauJ4i4KCXWMBBrw1SBBzM+gg4mPURcAisj4CDXiMBB702rqcIOOglFnDQa4MUAQezPgIOZn0EHALrI+Cg10jAQa+N6ykCDnqJBRz02iBFwMGsj4CDWR8Bh8D6CDjoNRJw0GvjeoqAg15iAQe9NkgRcDDrI+Bg1kfAIbA+Ag56jQQc9Nq4niLgoJdYwEGvDVIEHMz6CDiY9RFwCKyPgINeIwEHvTaupwg46CUWcNBrgxQBB7M+Ag5mfQQcAusj4KDXSMBBr43rKQIOeokFHPTaIEXAwayPgINZHwGHwPoIOOg1EnDQa+N6ioCDXmIBB702SBFwMOsj4GDWR8AhsD4CDnqNBBz02rieIuCgl1jAQa8NUgQczPoIOJj1EXAIrI+Ag14jAQe9Nq6nCDjoJRZw0GuDFAEHsz4CDmZ9BBwC6yPgoNdIwEGvjespAg56iQUc9NogRcDBrI+Ag1kfAYfA+gg46DUScNBr43qKgINeYgEHvTZIEXAw6yPgYNZHwCGwPgIOeo0EHPTauJ4i4KCXWMBBrw1SBBzM+gg4mPURcAisj4CDXiMBB702rqcIOOglFnDQa4MUAQezPgIOZn0EHALrI+Cg10jAQa+N6ykCDnqJBRz02iBFwMGsj4CDWR8Bh8D6CDjoNRJw0GvjeoqAg15iAQe9NkgRcDDrI+Bg1kfAIbA+Ag56jQQc9Nq4niLgoJdYwEGvDVIEHMz6CDiY9RFwCKyPgINeIwEHvTaupwg46CUWcNBrg5QLFRxUuThz5gydOnWKcAPEMf9FwMFfkfz7Ag759fDfgz4CDv6q5O0LOORp4fknAQe95OoGkbVrFyX2G8A3CP233U1BJTl9+jQNGzaMrr32WipZsiS1b9+ej7l7Zv2/X6jgAGA4evQopaen0+OPP07R0dF08uTJAvAg4KAvO0gRcAisj4CDXiMBB702rqcIOOglFnDQa4OUCw0cUB4ADbt376YePXpQpUqVqGzZstSlSxcCJCDddxFw8FWj4GcBh4Ka+B4Rj4OvGgU/CzgU1MSzIwIOeqkFHPTaIOVCAwc0VPv27aM2bdpQ9erVqXv37vTss89St27dBBzMRcUxVcDBUZbcgwIOuVI4fhBwcJTFm4MCDnqdQxUcrrnmGipRogTfwI4dO8b97Ohr93o9cOAANW/enK677joqU6YMpaWlWe06QU6ePHmKUlPTaM2atdrYA32Om1NQHrKzs7mLYtasWbR+/XqqUaMGhYWFCTiYpXNMFXBwlCX3oIBDrhSOHy5IcEjPGEnr128gXLzNFYUTT459Y+PpcHY2N7Y27UFf8bFjxymqdx86ceIEnT1rX5+dWVmUkNifb4q2tIGLHNoMHTqUAA433ngj1atXj8aPH0+TJk2yso4cOZI+/PBDuvrqq6l06dI0YsQIttGWRjgvyszwEam0evVq7lZwo/wg1gT1Ztu2bVSzZk32OADgcMz32o8fP84xKaVKlaIGDRowdPim2/j8x4kT1LpNOzr+xx/5bLVhC3TctGkzDRo0mPMNZdyGHeqcOP9vv62mtPQMBkF13NYW9syeM5emz5jJDwW29cGDSWpqBt+3UM9s6aLOCz3i4hNpx84s1+q6OldhtmifIyKjHCHnfA9e5P/DlCFDadq0GZwJAAhb67p162nFylXUvXtPWr58hTU71PXjSXHVqt+oS5cwWr16jXV7oM/8BQsovGcvWrt2nTV7YAf0iIyMpCuvvJIuu+wyvmHD84BASRtr8eLF6V//+hfbUqJESerVK8p6nkEjNCaTJk12Pb9mzpxFj1etSr/88gutWLGSkEeqHGO7cuUqzi/o9Pbb79CyZcvzpft+16vP0KdpsxZ8g/TqnLrzoD5Bw6jeMVxu1q7Nr5/ud24dhz0TJ06mhIR+IaNPamo6DRs2gj1o/uXLLR10/4u2OT6+H9+3QqVt7hEewe3zWr+6p7sGN4+vXr2WOnbq6n+rL9J+AXAYlDyYYmPjaciQYVbXlJSh1L//QGrbriMlDUymlBS79gwalEJJSYOoXbuO/CRi0x6cG/rEJyRSu/adKDl5iLW8gh3JySnUokVL7qaA1wErRljYWn1tuO2229g22GgzzwYOHEydO3ejmJhYGjx4iKu29OrVm+6773766KOPqX//JC4rvvV5wICB9N13jQngUL16DUpM7G+t/Ci7oE+Tps0pKSnZui3In76xCdSpczeCXdhXdnq9RZnF+VFu8NAycGBo6IMn2J4RvWhQcgoNHjzUqj6o29269aCYmDjOL6/zyP98yC+0y3hQwGeb7Q5sg+esbdsORQIF/x8XAAfpqnDugpCuCmdd4CqD2x1xBS1atKCPP/mEmjZtyjEG2LexIr4BNtT7tD61at2GbfN31xfGxRfM73jRVaHsla4KfVlVGpm20lVh1k+6KgLrc8F1VWSMHEWZmRv9AcPzfQmO1EseSsGRykoM8Zs7dx6NHjOGDh06xPEpmFPAxopAQdgwfvwE7ofFjcD24mZwpP+1bd++nWrVqsWjK2Q4pr86gfcBmZs3b2FPHvINkGFzwfnhjsdDHR5gbC/QR+Zx0OcC8is+oR9hnh08VKG9trmcOnWaevWKDqoJBTwOAg7O+uLmg0Y4OjqGA4JsFoZQBAcEKC1evISmTp3GAUE29UHFxVMRgrfmzpvPwYHOuerdUQEHs9a4IbZp256DEc3fdD9VwMGssYCDWR8BB7M+rqbixnP06DGKjUvkp1ebNyJcqICDObsFHMz6CDgE0kfAQaeQeBx0yuQcP336DKWnj2RPOdoh24uAg8UcEHDQiw9tUDhDYcppZaWAg1LCeeslOOzatYtq165NERER/ATvD93wnGGIKoZjNmzYkLuTnK327qh4HPRaCzjotUGKgINZH+mqMOvjaqp4HMzyCjiY9fESHA4fPszxDRMmTGBPmYCDOW/8U6Wrwl+R/PvSVZFfD/898Tj4K+Lhvngc9GKLx0GvDVJQcS/kGAdALkZxYAst/BfxOPgrkn9fwCG/Hv57Ag7+iuTfF3DIr4enewIOerkFHPTaIOVCBwezOsRBvtJVoVdJwEGvDVIEHMz6CDiY9XE1VcBBL6+Ag14bpAg4mPURj4NZHwGHwPrIcEy9RgIOem1cTxFw0Ess4KDXBikCDmZ9BBzM+gg4BNZHwEGvkYCDXhvXUwQc9BILOOi1QYqAg1kfAQezPgIOgfURcNBrJOCg18b1FAEHvcQCDnptkCLgYNZHwMGsj4BDYH0EHPQaCTjotXE9RcBBL7GAg14bpAg4mPURcDDrI+AQWB8BB71GAg56bVxPEXDQSyzgoNcGKQIOZn0EHMz6CDgE1kfAQa+RgINeG9dTBBz0Egs46LVBioCDWR8BB7M+Ag6B9RFw0Gsk4KDXxvUUAQe9xAIOem2QIuBg1kfAwayPgENgfQQc9BoJOOi1cT1FwEEvsYCDXhukCDiY9RFwMOsj4BBYHwEHvUYCDnptXE8RcNBLLOCg1wYpAg5mfQQczPoIOATWR8BBr5GAg14b11MEHPQSCzjotUGKgINZHwEHsz4CDoH1EXDQayTgoNfG9RQBB73EAg56bZAi4GDWR8DBrI+AQ2B9BBz0Ggk46LVxPUXAQS+xgINeG6QIOJj1EXAw6yPgEFgfAQe9RgIOem1cTxFw0Ess4KDXBikCDmZ9BBzM+gg4BNZHwEGvkYCDXhvXUwQc9BILOOi1QYqAg1kfAQezPgIOgfURcNBrJOCg18b1FAEHvcQCDnptkCLgYNZHwMGsj4BDYH0EHPQaCTjotXE9RcBBL7GAg14bpAg4mPURcDDrI+AQWB8BB71GAg56bVxPEXDQSyzgoNcGKQIOZn0EHMz6CDgE1kfAQa+RgINeG9dTBBz0Egs46LVBioCDWR8BB7M+Ag6B9RFw0GsUTHBAW69W/RnNKadOnaZevaLNXzrH1Iv8v58xchRlZm70P+z5voCDXnIBB702SBFwMOsj4GDWR8AhsD4CDnqNggkOp06don379tHJkye5XUPbf66LgMO5KhbE758+fZrQ4EZHxxAy83wyMFjmCDiYlRRwMOsj4GDWR8AhsD4CDnqNgg0OQ4YMoV9++YVSU1Np165ddPToUTpz5gyDhN6KvBQBhzwtPP8k4GCWHDC1ePESmjp1Ghdqm2Al4GDOKwEHsz4CDoH1EXDQaxRMcEBZXL16NT3zzDNUqlQpevLJJyk2NpZ+//13OnLkCJ04cYJwb8I5dYuAg04ZD44LOJhFFnAw63Py5ClKTU2jNWvWEhoDm2Al4GDOKwGHwPoIOOg1CiY4oJ2Ad6FHjx50yy230BVXXEHFihWjChUq0M8//0zz5s2j7du30/Hjx7VtioCDPq9cTxFwMEss4GDWR8AhkD4nqU3b9vwEZf6m+6kCDmaNoY+Ag16jYIIDzgJ4yMrKolq1atGVV15JF198Mf39739ngABMfPTRR9S/f39atGgRx0PgwQCwoR5OPASHTL0qHqVA/KNHj1FsXAJlHzmSK4JHpy9wGgUOvUMwxuHMmbMF7PX6gAKHKSHSVXH69BmaPmMmzZ07jyuR13r4nw/BTSNCyOMwfPhwdn02bNiQXZ7+9nq9D31CExxOsofIaz3U+dD440a9Zs0aSs8YSSdOnFRJ1rb5wcHsJnfbSOiDtjk9fSRt2JDJ8WdunzPQ/589+z+KT+hHWVm7guJdVGVgypQpXGcvv/xyuuiii/KtV199NT3++OP066+/0rhx4+jAgQO55RZtc2Sv3oHMPqf0AqMqBg5KpkWLFjO5IJrT5rp9+w7q1q0Hbdm61aod0GD37t20c+dO6tChEweo2NQF5967dy+tWbuWwsMjac+ePdb1QdDO5MlTaPiIVOv2QJvdu/dQenoGjR03zro9yC/ok5DYj+bMmct5Z7P8oBzjCeXGG2/kpxW4Om3ao/T54Yef+cnKti2oT0uXLqXevftwvqE82bQJ5589ew717z8gJPSBPWPGjqWMjJHcLtrWB21zYmJ/WrhwUci0zWHdw7l9DpY2+B/ENXz66afsafAHB3gg4Im45ppr6D//+Q+9/vrrFB0dzcCJ33bpGnZOYBDoywXAoXnzFnT33XfT/fffb329667/UPnyt9E9995r3ZZ7772Xdbnttgp0zz33WLfnvvvuo8qV72J98Nl2fkGTSpXuoDvuuIOglU17oAdsgD2VKlWiUNHntgoVqHLlytbtQf0uU6YM4SkF8HDXXXdZzS+UFZSf0qVLh0Tbk1O3KtPtt9/OdtkuP8oe9GuHStuj6hbqmW19YEPFihXpzjvvDBl9brvttqDXdeQ9AiQR5+APDr77f/vb3+gf//gH3XDDDfTQQw9Rs2bN6JdfmwZigXNKLwAOTZs2ozvvrMwVGA2MrRXUhEa/TJmynAHYt2ULzosGHzfFsmXt2wMtsKKyQB80/Da1UfqgYcMKe2zmF84NqMKNGhU4VPRB2UGe2dYHDeytt95KV111FV1//fVcz2yXH9h0yy23cuNv2xbkD/KpXLnybI/N8oOynGdPuZDRJ6du5YCw/bpemes5QA/tdCiUnzIu1PWcOnKLo8fBFxzwGR6Ia6+9lrX4+uuvqfH3P54TGAT6cgFwSOzXnyZOmkzr1q2zuq5du5aWL19BrVu3pSVLlli1BVpgSMzKlSupabMW9Ntvv1m3B/rMmTOH2rXvyO4o2/kFTUaMSGV3PLSyaQ+0gQ39ByTR4JSUkNGnZ0QkjRkz1ro9KMeRkZH8RPL222/T8uXLreYXysqq336jL75sRKtWrbJuC+IJpkyZSp27dOO6jpEwtsvz6NFjKLJXVMjokzw4hQYkDeR6hvpmUx/U9Z4RvWjixEkh0zYjXgftM8pSMLSBxsuWLaP333/fERzgZUBXBYInAVAvvPACde7cmRYvXszdSSjLwVwKgEPOzJESHOkvsgRH+iuSf1+CI/Pr4b8nwZH+iuTfl+DI/HqoPRUYlxMcmSHBkUqYP7f+wZEYvWR7cSs4EiACr6VTcCS6L9Bl06hRI8KEUTt27OCgUWjhSXBkqEw5jVEVmOCiT59Y2r9/P4uAQuL1gnPCFjRsx44do15R0TxkDMds2IPrVzZlccBdfy4YsMfGomzBOOJ58+bTpEmTreWVun4MRcKQpMlTptKs2XNCZ1TFiFR+AkFUuq2yA41CdR6H1m3a0R9/nFDZaG2LhwRE6A8YMIi1sjlqCeUE9sBLhMBj03h9rwRToyowagntou/QP69swHlU24MbY2pqOq1bv9562wy7oE9cfCJt276dyw/yryj3C1wnAhxfe+213OGY8DBcdtll3NWIQMioqCiaPXs2B8/iPqXOCXs8HI5p710VEEk1/IiWbdasJQ0ZOpSmTp1KBw8e9LTBRWYjExDNumHDBoK7CC6ozMxMHmGBWbtsLKrCbN+xg4fZYMbGrVu3GmcPC7adKp+gAUYMIH+6d+9BvXtH8ygG34Ib7HM7/R/sQYWFPSg306ZNo44dO9GAAUl0+PBhazCjdAIE942No4WLFhe5ocV/YkX5RF2B1mg81Yp9U2MeSuCg8g36NP7+J9q5M6tIjaxT2SjMMWUHboRbtmyhpKQk+umnX/iGrRpifMerBedCPkKXFStWUJ8+MdS6TVtug/zH6XtlkzoP6tnsOXO5Sxvuc7jiATReP7zgnGj30B736dOXpk2fzu00Rg2hHfAyv5Q26t4V1r0H37dGjhzJXYEoQ+ejjyqXMTExuYGR8DiULFmSPvvsM5o4cSJt3ryZy4nuev/y4KBEAl0lJiZSlSoPUenSZTjA47HHHqMZM2bkjk1VGeXWFragEcEN6OGHH+ZMg5sIQWUInHr++ec59sKt85v+F7ahEG7IzKQ33nyLZxRr1aqVp5UFjce2bduoTZs2HFWNoMjy5cuzLRhPPGrUKIYu03UEMw0VFkPmIiIiqEqVKpxHyC9EIdetW5cnRzHdTINpi+9/4WaOyVugE0YwdOzYMfeFNb7fK+xn5D1uKGg0UT6RB5hVDtdYo0YN7gONi4vj40jH9/2XUAIHlW+4BgRq/vDDD7lPjf52u7kPTfGAgNn4EGBX/rbbeJQHyvR3331HGzduZN3dtEH9N/IM5Qbj8THpD9obBPmiLKP/Ghoh322UZ9gID8zMmbOoa9duXN8/+eQTvnlBQy+XyZMnszYYIYR2GaNy0A698cYbDHxoo5zKv1s2ok0GRH377bdUrlw5tgUjIdB9sGnTJs6vcz03rgFghCmnMdkTRrB06NCBz5OdnZ3r0cD3dMtfHhxQETBxBebixpzc33//A/3yS1PK3LiRn2rPl9p0gpqOoxCggR09ejQ98sgj3OAPHTqUPvvsv5SWlkbTp0/nLhTTf7iVhkICogZtokFBVDOG3MBeryoK9EFQUoMGDSgsLIzfUTFk6DD66eef6ZVXXqFXX32VA7nc0sD/f1F24BH6+OOPuWIBMuPi4+nHH38kQCcqLzwRsNurBfkBF/P3339PNWvWpOuuu47at8+ZHfF87MA1wnsyd+5cSk5O5uvF9SUkJPBTMrr0EKTap08fatq0KYOtEzyECjjAtvXr17Otzz77LF1/ww18kwYUmRpCN/IPNz3ciD788EPq3bs3ZWRkUIuWrTi/MFwUZRwN9fnk27naizqMPOrevTs1btyY2xsEHnfo2InLM+o75uGAN8ILe/ztx40oY+RIuvvue/ih7oMPPuAnfcCOVws0Qh7hIQF58/33P3K+jRgxgttmPERAG6/aQ9RNwMHnn39OtWvXpg8+/IgWLFjADw14cMCLqc6nTEPTYcOGcfvVr18/PgfKIcprYfP+Lw8OqCxo8OvUqcMVFm5LWzNHIlPQgKFwwruAxhr7vXvH8JOeVwXSqSKiwUXXCW7OTz71FL351lvUsmVLT8EBdqHwokJAK9iECVgQIzNw4EAeQoaG2KsF+QEb4K0CVMG2qdOm0/gJE6lN27ZM7LiJ47gXC+xBgwFQwBMZylHx4sUZQGFfYSu9r62ABgQ+tW3bloG2S5cuDAm4bvwfzokV5XTs2LHUqVMnflrxP1eogAMad3gaECkOKC9VujR9/8MPbP/5NLK+Wp3rZ6Ubyg8a602bNlNS0iAGsnr16vFEWeop/1z/+3y+D3tQTpBXuCmtXr2G0tIzGAbR1w0wRACcDZ0AqJhxFDD81VdfcflGe+QlOOC6Bw0aRC+99BKPHBg6dDitX7/BWtuMdhDADmjAw2ZERBTtzMri/EFenu+CMqDeRYFrPp//+kuDAwRBw4jZrjCUZP78+XwTwBTPBw4e9LyCIJNQGFJSUhgcYA9ID1N3YtrX88nA8y086nc4J+xC49akSRN66umn6dtvG9NblsAB9igd0GgAHEakphLI+IEHHmDyV7Z7sVX24EaJxnba9Bk0ecoUCg8Pp6eeeoqf/nHcqwU3cMAKPCGo/DfffPN5gQPyHHAwZswY/j2e0uGZe/fdd/kJxL9BwTUiHUMu0ceKfZVPuPZQAQc0ivBaYYU+GPsONzx0wzV5vajyA702b0acQzLfnL/55huGG4CDl3Ype3BOgENqWjotXLiQb5bo+sIMl/5Q6LZmyBt4uB588EEK79mTfvrpJ57N0EtwgC6oD/AMoVsCw4kHDx7Cgcco2zYWPCSgu7B58+bc5YX7xNbff2f4K0qZwbX6PhScz7X9pcEB4iLIDm5dEP7atet4zPun9T+jYcOHcwX2bwDPR8TC/gb2ABRQSdB3DNcg3oeOiTTgkkLBLUqBKKwdvt/D+VAx8HT2xBNPcPBNy5Zt6O2336EWLVp47nGAbSjUgAa4TWfNmk1h3btzBUIeol/YxqLAAaMq8JSGCVDggkYfttd5pq4fN/ISJUqwF+BcPQ7wkuDGim4YQAj20YBjDgaURVwTGhjfBXUFXWrx8fF06NChfPAQKuDgay9sLFuuHLvibYGDsgd6Ahz69x/I3W3oeoNHD8HZXt6o1U0D5QVTYA8cOIi74TAbYHp6OscQ+ee7uoZgb5Uts2bNopdffpkaN/6e8HoCvBuhfv36nnZVwBaUYXjc4H1Bt13Tps0pOXkw13Ho5eW9AlqjHuJhCd3sCGb96quvGazmzpvHbSPqrJdlxzf//7LggIIAYRHN/Oabb/I823DDI0gJs2UhQKl69eqEQosbthcLMhk3QwSaIfgGwS6wA40/ZpBs3bo1j6zwquLimnHteOLAkyaCAFevWUMYwvbOO/bAAZUUUAVQUAE8cM3jKcCrvPIvDwocxowdR506d+F+0L59+zLgeJlfvnYVBRzQSOLpCo2Sgg4cQ1cEgoidbrS4+c2cOZOHaSHAF9CrAEPAwTdnCn5W4ICh4L169WJvFQIVAchelh/YgQmx0C2B9hABgAjUBgyiu8DLmyNsQYwQAv8A4hgaipe2/fprE2vggAmO0C4jzksFSOKeAaCAB8ArfVAm8HprnPu9995jb0zFipU4/gPBrAi4xcgHW+3hXwIcIDIExDAauHFRMeCqRKEEtSG+AVOsolHE01XHTl24vxY3R6z4XjAX3GTQICByFfaAFhEZi24T2ImhPWh4UTBA/Z/9twEHcMFGdKugIQ9mY4L/wn/CBl99YA8qAzwL//3vf5nwETQKcMCTJ1xkbgSPosHA/yKPYA9WeBJUpYRGAwYM4KdhRIA/WKUKuw8BXHClBlMb5Dv+D09+CAKELdiiUgI81QLbYHNCYiI/BaCxA5QG2xacD+dCI670QXlWLm3f8xUFHHAt6I7CNSA/8L+4XnhQEJyKWBKUDXwPUACQQHlBNwUaeTwRQiv1WwEHVVKct9AWHs+vv/6WA6MRpIg8hn5eLmibUJ7QLYmx+gjShPcTXlnMpot89i1jbtmGc+AhCt5XlEMMvZ40eTJ783755RfuqkB7hbbAC3twndAGMR6wBbMjdu8RTjF9+7ItCB7FcFovg1kB6XioRIwD4pk6depKy5Yv53vEo48+SnhwQZ2E3cFcVFuAbnWsaI/UgvKKMoKy26WLyy+5cnsCKFwMLgSuPwTXIPAQrkCIjZs3wAE3RtywkfHRfWK5CwNPVpiDHDeKYBZONBLIUETdwx54NuD1QEQs0nAurIALNMyRkVF8UwdZ4nsI8Apmg4KChRiGDz/8kO1BvAeeNgAtgwcPpueee45jCABe8xcsoB9+xCiGVxlmAF4oPMHUBxCD/ktUCDRaWJE/0EJdN86H7y1YsJCnnMZwIVQWvLoZ3wmWPfgf/B8qKYKikF/YoiFFw6YW2IJgVpQt5BFm3VO2qu8Ea4uKiRu00gfnbNeuHTeivuc8X3DANaOMoY4gb9WC4ygrAF0MxcXNDQ07gicRl4NALQSwoXsDNxmUX7UIOCglnLfIU8z/8Z//3E24MeIGFewG3/nMMVhriwAAIABJREFUBY8in3EzWLXqN+7HRxcFyhqAEMDsW8YK/rroR1Q5Q31CnBCe5tEGY5RHYmI/Do7EAx28wV7HXCjbULbT0jI4OBL1AXUecSn+DxRFV8P5H1A28HCJoaDwBuG+FdM3jjDPDsoO4B6jLfAZeQm7g7Xg3PhfeMbGjx+fr/1HfqAbB7FO3//wU7BOyf+jmXLavb5piKYadtxYMHwGlQHQgCc1vDYUQ8zQ0GZnH6E+MXH8imT06wMcEKQYbOFBynjXOezB0BfMQYB4C9/GAhCBBjeqdx/2eiAoCDd1eECCWXlxbTgPXKO++gAUMOwJ7jA0HAAX3Ezuvfc+noYUTyNIxxBNX7uLWlpwbXjCRx7BHqw4h4Iq9f+ovHgd++gxYzmP4H0AQCCvg5Vf+B+s6O9H/z1sgQseQ2Nxflw3tMMMagDQ559/gYYPHxFUG9T1qi0aAnhglD0ozyij0M33uosCDrhegKQvOOD8+H+UXTQcGI0E+FZlBrrAC4VGAw2ZbxkVcFC5l38LPQGg0BDDwT/5pB57eYJZhvOfsXB7KNc5oyrSuV3q2rUrYfgqHiZ8nzAL92/n9i1ognMgGBNdtWjzcGOuWbMWPf300+wdxssI0SbBywitvF5Onz5D6ekjKTNzI3vhcP9A1ykeeNBOub1AIwAL5lhA2UEZ6hsbTzt27mTox4MN2mt4CN0AB7QPaO/wkID7KNoE2ACIQRArHiyaN28VVBk8Bwed9agcaFzRRQHXO1xfuGFF9Y7hhhGFEuCAiHKvFtiEBheZjQqBhhsvU4HLGAQJO4PtcXC6NtWg4aaEvm7cDLC2a9eeXnzpZXbHv/jii0ydcEnDbvzGzQX/r7TBFjcjeBzwEifcOOENwFBEHIc9bi84ByoMzo3oZlSi+IREmjFjJucdbPRCF911FgUc4IGCq9ofHPzPhWtEOcUKjxC60gDC/jcXAQd/5XJc39ANAFitWjX66qtGFB4ewToCSr0uP6p+4caH88PjgJgCPNAocIAnyT9vC15Z0Y7ADpwDcI7yhKmNEV+F4MiGDT9nDyS8ixgijIcvlDu32x5cka8+yLcRI9K4ewnd25hRUXVPuq2PUhcPvfAG9+zZk+8J0dF96fdt27hLHvbAo+1G3AV0wPXjfoCJwuB1wH0THhDkCx4mATVdu3VXpgZlGzLgAAHgIsSFI8gOlQNPcnirF0TAjcCNGAedirjJoAsDoAKvAhrvXbt2U8tWbdj9A7pEBUKmeVFRUAFwY0SjD51QQTFzZPMWreiNN9/k6GYUGH9PgO76inIc1wt7kD+getwUoc+0adMpsV8/HjKIAFJ4bry6WSMf0CWBiG8M0QJAYEIqeECQf9AGunnVkPjre77ggP9BXsODo1zBpvKGNJQBeKgwMQ5czMgD30XAwVeNnM/QBP3laGzxxDphwkQKD4/kKbChO/IPZQwA4faC/II9mM4ZoICHE5RnvO0VnsiqVauyK96rUUKqvsMmrADYKVOncYAktProo4+4+wLl1Ct9kBeABNU2DxgwkObPX8ABxPCAIGDbqxgHlAecC7PCwiODPOrSNYxWrlrF3YYYbYEHX3zHVHfPt1zhP1VXEiYCRFnBjJXwAgEuDx48xA+85/v/Tr8LGXCAcWjwUEnRX4Npi+F+qV69BlWvUYP7q+EiR4HxYkHlRaGEuxddAugvRr/Zo489nltxceN0oyAEuj6cE/Zt276DOnbswrah7xHaeGEPzoEbMJ7OQNmYwAd9ru9/8AE9/nhVnqkR/fyIU/FqQYOGfn0AC4aqouw8++xzXH7gWgV5o+/fq/Ljf90YbogIa8QiAAD9b+b+3/fdx7XhiQKND+DH1Dgjb9CAY84HzF+Bm45/mcD/wXuFKYxRrgN5MnxtceszGtU7K99FLVq25Dw6F32CYZOKc0KDiweXWs8/T0888SR7rxAQiDK+aNEiT8AT147yAo8mGn94N+F6R3wRwAZgjO445KN/3gZDi0D/gfI3Z+48wqgleBUxJTe8sF5BudIHumA4JiahgpcRDw2YJRZDRGGPFw9RSitcO0AGXe3o5nqmWjV65913+T6GuUmQhnrv1oK4QQTRYpZj3DsxZBf3S7QXx4//Qb16RQf11CEFDqgEqlCg4UMBeOGFF/m94iAnLwsCbEHFRMQuZrfD1K9ffvklvf56He5XR0Z53bipnFc6oQ8NE41AK4z68Kriwg5cO/rWEbCJoakABwwT/apRIy6wXtI+7IE7F6QN6MQNE3n29dff0HffNaYePcK5iwcauVl5Vf44bXEzh7ty1KjR51yOUe7Rj4nfIzBUdw0oF2jUoQOC+lB2ncpEKILDsWPH6e133qUpU6eyzbgWLxdoAg8Zyg/KDgDm448/obCw7lye0EWIBwUnPYNtJ64deY6AQ5Rl3HgQ4wKAQZA47PCyLfS/PgUOkyZP4fKIGxRAx6v2UOmDp+yc6aa/54c7AAzyEN5FE1z7X0+w9mEXgAWxBS+/XJuBBiPOnEZZBeuc6n9QHvAgh+kL8E4czKqJPIFNaBv/0uCgREDlBCnB/R0RGcVbCOPlAsFR+NBI44kMhRH2dO/ek5/ovKokTtcM23D+nVm7KD6+HwOOFw2ary2wAXmCBheBOPv3H+B4gjFjx/Ixr/VBXqGCoNwgv/AEOW78BL4RAWJgJ+z12i6lGV4Xja4TRKTDVuhX2AU249rmzJnDo5EQKAxvDq4T14trw2d4yOBJAHDDXarzQOH7oeZx+OPECWrRsrW1uqXKjyrPCEaMj09kNy/Kt9flB+VDlWeUZczfkjw4hcu1zXKMMgut4HHAzKzQBXaea5kubNnXfU+1Pyj/uEEOHJhMy5ev4LbIa1t8bcS5oUmvqGja+OcoN+hzLvXd9/8K8xn/jbqPBzjM9QFwgEcK9ywsf4l5HAojBL4DMY4ePUaxcYlcGNwUvjA2qZtkdHQMVxSb9uDcuJlk7dpFif0GcKUtzDW4+R1UDrzee+rUaVaeGH2vDdoApKbPmElz5+WMcPBNt/H55MlTlJqaRmvWrD3vRhaNJLwICCBGwBXigDDcCgGQ6KqC6xYjWRAMBWjQQRIatlADBwA6XllvqyvJt0yg8cfMkcnJQwj5ptPR9zdufsb5UW7SM0ZqvU1unt//v6EPwGHGzFmEEQ229fEdVYF2yPYCPeIT+nH7fPasu4HquBegPsOzgZF16N7CfBKYdEp1U0KTC8LjgIyHIAIOzlVAwMFZF3UUFfevCA5osBXAopsIgcSI64iJieGIdgTSAS7UEynKidMi4OCkSt4xAYc8LZw+CTg4qZJ3zEtwABTAu4BgfcwXAY8mRthhEiwE16IdBJQLOOTlj6efVIMtHgdn2cXj4KyLOhoMj4P6L2zReENzPKEDBFA+cawwi4CDWSUBh8D6iMdBr5FX4IA6j5lFEYyJYHB0ZaLbBvO5YBpueCbRTYuHCQEHfX65miLgYJZXwMGsT7DBAWeDR8F3NVuQlyrgkKeF0ycBBydV8o5BHwGHPD38P3kBDqj3GH6OUSWY5AmBkfAsIG8Qk4MJwjAaEO8MQoyMgIN/Lnm0L+BgFlrAwayPG+BgPqM+VcBBrw1SBBwC6yPgoNfIC3DAOTDCCsPeESytRrUAKHCvGj16NI8OwoSAGNEl4KDPL1dTBBzM8go4mPURcAikjwRH6hTCTUKCI3XqYP6fvCmn0Q7ZXrwABwACRlIBGHDNOKdakIZjajSZxDgoZSxsBRzMogs4mPURcAikj4CDTiEBB50yOccvRHDAlQMQfFdfldRxlB20zeJx8FXHw88CDmaxBRzM+gg4BNJHwEGnkICDTpmc4xcqOJhVyUuVeRzytPD8k4CDWXIBB7M+Ag6B9BFw0Ckk4KBTJue4gINZHwEHsz6upgo4mOUVcDDr4yU4KDcltk6LBEc6qZJ3TIIj87Rw+iSjKpxUyTsG0PNqAqi8s+o/CTjotXE9RcDBLLGAg1kfL8ABoKD6NDFrHIZlYd9/EXDwVyT/voBDfj389wQc/BXJvy/gkF8PT/fQCMrMkc6SqxuETDntrA8q7l9x5kjnq807CrhFJHVsbCxPPxsVFcVju/09DwIOeZo5fRJwcFIl75iAQ54WTp8EHJxU8eiYgINeaAEHvTZIudDAAeUB0IBpqJs2bUoVK1bkmePw/gpAgoCDubz4pwo4+CuSf1/AIb8e/nsCDv6KeLgv4KAXW8BBrw1SLjRwwPXu2bOHoeHll1/mVy8/99xz1K1bNwEHc1FxTBVwcJQl96CAQ64Ujh8EHBxl8eaggINeZwEHvTZIudDAIaeuHKWJEyfS0qVLacOGDVSjRg0KCwsTcDAXFcdUdHNlZmZSv34DeIId9fpyzPnv9YpZ/3B+5OvQYcP5/I5Ge3hQwMEs9gUJDnh16/r1G7jxhQC2VhROBHf1jY2nw9nZPA2sLVtwXsy+dezYcYrq3YdfLITXpdq0B/rszMqihMT+uW9DtGkPXra0aNFimjxlCk84Avts2XPmTM4LoKZNn0Fz5swNGX2Gj0il1atXc/yFG+VH/ee2bduoZs2a7HHAjcc/L3Dzw6u4S5UqxW/UQ1yErbxS5/3jxAlq3aYdHf/jD+u2oCzjteP1P/svde/enXr27EkRERHWVpy/WbNm9O1339HOnTsL5KfS0KstwGr2nLn82noERWPfq3M7nQc2pKZm8H0Leef0HS+PQY+4+ETasTPLtbp+LteDe1dEZJSZds4x9SL/7ycPTqGBA5NpzJixNGasvXX0mLE0IjWNOnTsTKlp6YR9m/ZkjBxFaWkZ1L5DJ8Jnm/bg3KNHj6GUlKHUsVNXGjVqtFVtkC8ZGSMpNi6BekfH0MhRo+3qM3oM2xDdJ4Zi+sbxZ5tlB+cGkId170n9ByTRqNFjXNUnsV9/fvHNZ5/9l+uQf1lNTUujX5s0peLFi9MLL7xAw4YPt15+oE+Tpi0oLT3Dni1/1qv+/QfQAw88QDfccANdf/31vMVnmyvsuPHGf9OXX35F6ekZXIZslWmU35i+sRTdpy+NHDnKqi0o2yNHjaLwnpE0IGkQt0O2dFHnhT4dO3WhwSlDXa/r6pymLe5X7dp39L/VF2m/ADgMThlCY8eOp6VLl1ldlyxZSnPnzqOu3XrwUyP2bdq0cOEimj9/AXXq3JXw2aY9ODfWKVOnUfcePWnR4iVWtUG+LFi4iIYNS6UBAway58G2PvB+AIABV4sWLw4JfXIa2tG0ePGS8yo/uKZZs2bT2LHjGBwBj/Dw4Liv3uPGjadHH32UGjduzHXINw15NW/efOrSpSuDQ506dWn27Dn29VmwkMFh/oKF1mxZsnQp501KyhAqX748XX755bwCGABZNtabbrqJrr32Wrbj0ksvpXfefZfmzJ3LeW6rPUT5xX1i0KDBbAf2bdmCso3yHxMTy/UCbbMtW9R5oUe3sHCaMmXaedd19V/B2EITPIAHcykADtJV4dwFIV0Vzrool5l0VQTWp6hdFeh2GD9+PNWtW5dq167Na5MmTbjf29ddLF0V5rxQZdZpCx2XLVtGlStXpn/961/00EMPUVxcHA0ePNjKOnDgQA56RbcSQObrr7/mmAeMonGy34tj0Ei6KvRl7ILsqoBbIzNzYzDh5Lz+S4Ij9bJJcKReG6Sg8UTlnT5jJs2dN5/7hM2/cD81GBNA4WaxatUqwvwM6PfGOnz4cI7hQJlQy/bt26lWrVrcPy/DMZUqhdsiHmT58uV011130dVXX02vvvoqj1gBGNtYAYvjxo2jO+64g4oVK0bffPMNvyYZ5dvWAo3ktdp69dH+yMyRen1cTRFw0Msr4KDXBil/VXAwX3VeqoBDnhbn+skXHK655hqqU6cOj6w41/8J1vcBCFOmTGGQEXBwVlXeVeGsizoqU04rJSxs8bSHp7fo6BgeNeD7hOe1OQIOZsUFHMTjYC4h+lQBB702KkU8DkoJ5614HJx18eSoeBz0Mgs46LVByoUODrt27WIXe2RkJLvX/SFXppzWlx8BB702KkXAQSnhvBVwcNbFk6MCDnqZBRz02iDlQgcHzH+SkJBAs2bN4lgPf7UEHPwVydsXcMjTQvdJwEGnTM5xAQezPq6mCjjo5RVw0GuDlAsdHNAvjlFA2EIL/0XAwV+RvH0BhzwtdJ8EHHTK5BwXcDDr42qqgINeXgEHvTZIudDBwawOcawOZkbEEL+GDRvy8L5Av3E7HaDTpm177lpx+1ym/xdwMKmTkybgYNZIwMGsj6upAg56eQUc9NogRcDBrI94HPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKQIOZn0EHPT6CDjotVEpAg5KCeetgIOzLp4cFXDQyyzgoNcGKRcqOKBcOK3+agk4+CuSty/gkKeF7pOAg06ZnOMCDmZ9XE0VcNDLK+Cg1wYpFxo44HpPnDhB27dvp5SUFGrZsiU1a9aMEhISaOPGjXT69GnWRKkm4KCUKLgVcCioif8RAQd/RfLvCzjk18PTPQEHvdwCDnptkHKhgQMa8gULFtCbb75JlSpVomeeeYaqVavGn+vWrUuZmZl06tSpXNEEHHKlKPBBwKGAJAUOCDgUkCTfAQGHfHJ4uyPgoNdbwEGvDVIuRHAYPXo0expWr15Nx44do+zsbEpLS6MnnniCvQ/YV4uAg1Ki4FbAoaAm/kcEHPwVyb8v4JBfD0/3BBz0cgs46LVByoUGDrje48eP83rmzBm+fjTuu3btos8++4xefPFFOnjwYK5oAg65UhT4IOBQQJICBwQcCkiS78AFDA6Z+YSwsZMHDgl05MgRDvqyYYc6J/qJ0eD2jo5hty/ss7UIOJiVzw8O8+jMmbPmH3iQevLkKRqRmkZr1qwlNLxulx+cY//+/fT555/Ta6+9RgcOHMi9SpTj4cOHU6lSpahhw4Zcv3ITLX04efIktWnbnmM1LJnAp1XgULlyZbrmmmuoTp06dOjQIWsmAQQnT55Md911FxUrVoy++eYb9ijhuK0lBxzm0oyZswrEz3htE+oR2ua0tJG0YUMmoRzZXqBPfEI/ysra5UldD3S9p06dpshevQN97ZzSL/L/9vARqQR3J4KtbK5o3PCUhBv13n37+KZt056jR4/S4cOHKbxnJDe0sM+WPTj38eN/0Nbft1Hf2HhuSGzZos4LuJs3bz6NGz+Bjh49ZjW/oA1smDhpMk2fMTNk9EkZMpSWL1/BngE3y88ff5wglNfp06dTjRo1qXPnzrRv377c8oob4eDBg6lEiRJUv359BgyVj7a22dlHqHmL1nQ4OzvXTq9tgW7Hjh2nhQsX0h133EFXXXUVvfrqq7Rnzx5rNqHbady4cRyvcskllzBAfPzxx/Tpp5+yNwkeJa9XnLt27VfopZdfpnr1PuUy5LUN6nwov7CnRo0aHONTr149z/VQtqgtbHr66WcoIiKCDhw4yHXR67Lse74jR45SWPdw/1t9kfYLgENycgrFxSXQ0KHDra5DhgyjAQMGUrv2nWjgoME0ZIhde5KTh1BSUjLbA41s2oNzQ5+EhH7UvkNnGjx4qNW8QlkZNCiFoqKiqWdELxo8eIhlfYaxDT0joigysnfI6NO5SxjFxMRRSsrQ89IHeQ5tBw4czGUR5TGnLA7L93+qDr/33vt0zz33UufOXWngwOTcMpKUNIi+++57uvnmm6l69RqU2G9Abpqtej9o0GBq2rQFX5stG3Be5E2XLl2pVOnS9K9//YsefvgRiotLtKYP8rtly1ZUvnx5uuyyy3i94oorCOs///lPKyvOffnll/MaCrbABnhjsNrUBfmhbLn00kupdOky1L1HONdVm2Ua7UHbdh2LBAr+Py4ADvA4zJ49h7Zs2Wp13bx5C7t1IyKjeGvbnszMjbRu3Xrq3qMnR6nbtgf6LFm6lKKi+tCmTZut5hW0gJtw/PiJNGJEGm3cuMmqPdAGNqSlZdCoUWNCRp9+/ZNo+vSZ520PyuCSJUtp3LjxNGrUaBo9egzNnDmLcBzXrMrk0qXLqFWr1vTQQw9RTExfWr9+Q770devWUXR0NJUsWZLee+89+u231bm/Vf/h9Rblp0XLNmyr1+f2PR/qEvS9/faKdPXVV1OtWs/TihUrremDfJ01azYDXsmSt1CZMmWoXLlyVteyZcty2UH5wedQsAfes1tvvdW6PsifG264gQAOxYsXp2HDhlu/f6F96BbWw//eX6T9AuCQnp5B69ev574Z9NXYWtGHB/dlTN94OnT4sDU71PWfOHGSXd69oqLZbamO29pCnx07s7gvDUPtbNmhzgs378KFi2jS5CmE/nzEFag0r7fQBn2dU6dNp9lz5nJMitc2+J8PXROActyk0Sfrn16YffzHqFGj6LnnnqOnn36ah11++eWXhLJ5+nTONSOuYeDAQZwWFRXFbnbo4fv/cH8PGzaMG9oGDRpwF5xvuo3PuLZWrdtxN46N86tzIm+WLl1KKsbh9ddf5/gQle71FnkHbaZPn0GdOnfh7Zw5c8jmOmvWLOrTJ4Z6RUXRzJkzafbs2VbtgQ3t23ekIUOG0owZM6zagu7Bd955h6688kr26GEfI5q8Lje+50O3BTzBwVwKgEPGyFH8RB3Mk5zPfyHoBf3UsXGJIRUcGS3BkY7ZCXhZvHgJTZ06jdDYuR3852jEnwcLBEee/WsER6Ix2LlzJzeOU6dOJazLli3jRgl6I3YBngQMwezZsyff8JzygSHGJzgS8RC2FwmO1OcAyvOaNWsoPSODIVH/TW9SUA7nzJ0XUsGR6ekqODJvvhJv1Mh/Ftykf/75Z7ruuus4hgggY7t+ITiyl9vBkTngsDG/Ghb2BBz0okMbNCZZu3Zx/zQqsu0ldMFhPt9YbesDL0xqEUdVIN+R13gqht5YAWlYEfzYp08fevLJJykxMZE9DUjH91FWfAEC4DBixIjcURW2GzbkTaiBA0YxhMKoCmiTAw5rKT1jZMiMGsgDh5zhvzbrF7xtAAe45FHmbS6hCw7RQZVF43EQcPBXGY01GlzxOPgrk7OPChuaHoe/Djg4KQ8gwBwOcXFx9PDDD1OHDh3YC7F582bCumXLFtq6dWs+r52Ag5OSOccAWsuXL+fRCwIOzjpBIwEHZ20EHJx18ewoGkTpqnCWG9qIx8FZGxyFNngKx1DMufP+2uCAa92xYwd98cUXHHlfunRpDlarUKECYa1YsSL318PDgAYfZUfAQV92BBz02qgUAQelRMGtgENBTTw9IuCgl1vAQa8NUi4kcEBZQLDjokWLaOTIkZSenp5vzcjIIExHDa8DdBFwMJcdAQezPkgVcNBrJOCg18aTFAEHvcwCDnptkHIhgYNSAmXCtKrvYSseB1818n8WcMivh9OegIOTKjnHBBz02niSIuCgl1nAQa8NUi5EcDArkj9VwCG/Hr57Ag6+auTUJcQvIY4GwwqxYvTOxImTaOy48TyUF+XJ5kgqCY7Mn2f+ezmjKiQ40l8XT/YlONIsswRHmvUJxqgK8xkKnyrgoNdKwCG/NgCC1NRU+vbbb/m9JoilwftP6tSpy2vbtm1p6NChHIgLuLABEAIO+fPMf0/AwV8RD/cFHMxiCziY9RFwCKRPaL3kSoZj5uQXhsk2b96c5yRQcxNghsbixW+mm266if7973/znAV4YVpYWBjt3bs3NwjXnOPBSxVwMGsp4GDWx9VUAQezvAIOZn0EHALpI+CgUwhdb3irqo15HNBn/+uvv/IsiC+99BIlJSXxrKPt23egJk2bUbt27fhFYBjNc+ONN1JMTEzuzLq66wn2cQEHs6ICDmZ9XE0VcDDLK+Bg1kfAIZA+Ag46hUIBHOBRwCu98Xp2dEdgKncMd0a93759O/34448MDlWqVOG4Bxz3ahFwMCst4GDWx9VUAQezvAIOZn0EHALpI+CgUygUwAEeBcQ5IDDSf1SFipnBC69uueUWysrK8nSGSwEHXcnJOS7gYNbH1VQBB7O8Ag5mfQQcAukj4KBTKLTBATPqnuApzPHqb0w6hhetITbCq0XAway0gINZH1dTBRzM8go4mPURcAikj4CDTqFQBQd0VaBcAxSaNm3KcRCNGjXioZvozvBqEXAwKy3gYNbH1VQBB7O8Ag5mfQQcAukj4KBxsYGKAAARb0lEQVRTKBTAoWTJkvT222/T5MmT+bXVMX1jqVdUbxo5chTHNzz22GOEV5BnZmbyS9hgs1eLgINZaQEHsz6upgo4mOUVcDDrI+AQSB8BB51CoQAOGIpZrFgxuv766zkIEi8Au+qqq+iSSy6h4sWL0wcffEBLly7lERWYoM7LRcDBrLaAg1kfV1MFHMzyCjiY9RFwCKSPgINOoVAAB8DB448/Ti1atKD27dtTw4afU/36n/FIi5dffpmeeuop+uSTT2jmzJkyHPPnn3luixIlStCMGTPI9mvrBRx0NcuD4wIOZpEFHMz6CDgE0kfAQadQKIADhmN+9dVXtGvXLn6p2tRp02nCxEm0e/ceWrlyJbVq1YowMRS6LDZt2iTBkdddx5NmCTjoSrVLx+VdFXph5V0Vem2QgoYWwVkXwmu1zUo4p6rhc7gZNGzY0PoTEaxEFH6btu35adXZam+OypTT+XVWE0BhOCbmcTh48GC+eRyQbydOnGSgePTRRzlAMjw8nN9pkf+f3NuTrgqztuJxMOvjaqp4HMzyisfBrI94HALpI+CgUygUPA6meRxgH2D01Vdf5Wmo8T4LAIZXi4CDWWkBB7M+rqYKOJjlFXAw6yPgEEgfAQedQv8/gAP68WvVqsXg0LhxYwEH6arQFWd3j0tXhV5f6arQa4MU6aow6yNdFXp9pKsivza+XRX+M0fmzONwkmMeJk2aRHfccQePsOjfv7+n3V/iccifZ/574nHwV8TDffE4mMUWj4NZH/E4BNJHPA46hULB44DARwRH7t69Ozc4cvyEibR+/QZKTExkbwOGaj777LO0bds2CY4Uj4OuOLt7XDwOen3F46DXBinicTDrIx4HvT7iccivjfI43HDDDXTFFVfwHA4333wzb/E2TPVqbWxffPFFngAKDxGog14t4nEwKy0eB7M+rqaKx8Esr3gczPqIxyGQPuJx0Clk0+OAdi8iIoKefPJJuv/++3m97777qGKlSlSpUiUefvnRRx9RQkIC7dixg4Mk8WDj5SLgYFZbwMGsj6upAg5meQUczPoIOATSR8BBp5BNcFDeTQxvRhuI9cTJkzRj5iyaMnUagwLqPtJhp9fQAM0EHHQlJ+e4gINZH1dTBRzM8go4mPVxGxzQaCMPEN1++PBhXvEZ4+z9G3PpqtDnlXRV6LVRKdBoztx5DA+4aaPs2VwEHMzqCziY9XE1VcDBLK+Ag1kfN8EBYHD8+HGaNWsWtW7dmt5//31699136ddff+UpgAEKvo27gIM+rwQc9NqoFAEHpUTBLWJCfpYppwsK49URNIZHjx6j2LhEOnLkSIGnJq/sUOcRcFBKOG8FHJx1UUfdBAeAQFRUFFWpUoVq165NTZo0YWioVq0aoT96/PjxDBbKFgEHpUTBrYBDQU38jwg4+CuSty/gkKeFlU8CDnrZoQ2eILN27aLEfgMIFdn2IuBgzgE3wQH9y/Pnz6eJEyfycDnVVTFv3jwGiTfffJO7LpSFAg5KiYJbAYeCmvgfEXDwVyRvX8AhTwsrnwQc9LILOOi1QQqg6kJ6V4UqD2jQce3q+gEQmLQHbzXcv39/rmgCDrlSFPgg4FBAkgIHBBwKSJJ7QMAhVwo7HwQc9LqrG4V4HJw1UjfOC+0lVygXaNTRrYaYB7y18K233qLPPvtMPA7ORaXAUV9wuOqqqwivjN6+fTsdOnTIyop3Phw4cIDmzZtPSQMH0Z49e6zY4Xv9sGf8+Ak0avQY2rdvH9vnm+7lZ+gDG/r3T6IlS5bS3r17reqD/MFEWSg7F9RrtdMzRvJsYOrJxdYWFRixDX1j4+lwdjY3iLZswXkRnX7s2HGK6t3nz/fN5zzZ2bIJ+uzMyqKExP58o7BlhzovSHvRosU0ecoUju6HfSrN6+2ZM2fZhmnTZ9CcOXNDRp/hI1Jp9erV7A05e/b8yw+0Vauvthgmt379elq2bBmlp6fTxx9/TLWef54mT57Ms/2p7wIqhg0bRng7ZoMGDfhNhirN1vaPEyeodZt2dPzPQE5bdsBTBf0qV65M//znP+mWW27h7p433niDbK1169blmRkfr1qVXnvtNWt2qOuHPdWqPUvPPFONXn+9DmFfpdnY1qlTh6pWfYJq1XqeXn/9dau2IH/uvPNOuvzyy3PBAfcxW+UZ58W9KyIyqgAkF+XARf4/HjgwmTp37kbh4ZEU3tPe2iM8gjp17kotW7WhsLBwwr5Ne7qFhVOXLmHUqnU76tath1V7oEWPHhHUsdOf+nTvaVUb5As0ade+I7Xv0InCutvNL2gDG2BP23YdKSwE9OnarQe1atWW86x7j57nVX6Q77iurt26U5euYbxy3egRwf+H633yqafo3nvvpYoVK1KFChXolVdfo6bNWnBdUvWnc5du9NHHn/B7BR5/vCp16NDZevnBNf3apDl16drdni3hkYS8+emnXxiq0Pj/4x//oMsuu4xnTcTMiTbWYsWKEVbYg60NG3zPqWxR9ti2yd8eX1u9/gxbUF5QbjAF99fffJev7qk66Nk2PJK6hfXg+5b/vb4o+wXAYejQ4bRixUp+2gcp2Vqzs7Np7759FNmrNwcB2rJDnRfuN/QTo6GGe0wdt7WFPps2b6HoPn3ZDW3LDnVeaDJ79hx2Xx46dNiqPtAGNowbN4EnqUFfv7LT1hb6JCen0OLFS+jw4ezzsgf/sWrVKhqUnExJSUm8jh03jl2zXF/27qUZM2bQuHHjaMCAAVS/fn1+cm7ZsiVlZWVR9p/1Ga7dgYMGMTjUq1ePAypt6aLOe+DgQWrarCW7vdUxG9vs7CO0c2cWYTbEUqVKU5kyZahcuXLWV7wrAlM9h4o9JUuWJKxly5a1rg1sQLcANCoTAvagvBS/+Wb2fqCby/b94uDBQ/zQWxRQ8P9tAXCQrgpnF7J0VTjrolxw0lURWJ+idlWgi2H06NH0wgsv0P9r7952oyrDOIx7I3ACd8AtwCWoF0CiTTginBEhRm2g0H1Li7FUidBQgVJ2RjBpRbGQCJGDWgyY0ko303oGJkBRXvP/yBpqWe/3HcCaj9BnkslsXmBWf2utmYfZdevWrbZt2zbbuXNn+PY+PcWuly90qqM+5aI7rH379tnmzZttcnKy/hIJL1XE15Xs9Mub9LLk9PR0+KVN+jrlHEc98OiXRo2Nj9uRI4NheXIsx+rbnJ2dtdHRs6bteWZmJruPlmFgYNCuXr36Rvhofel/+TOzs9lftm3YSxVnz523u3f/WBsYDb/MmyN9ct4c6dtoop1FD55v25sj9TPpjWl6n4Te+Kij7jR1vbaJ1QcZ6NMTw8PD4SULfVRT1+nP8amK1VIvn1eATU/fs+PHT4T3M8lXdrmOuv3Jyd9s5MxoWHe5lqO4Xb359qerP5veQ6SPGef00XuFFHojI6Mh9vQfmGI5c53KY+DIl+E9aNqW1u6bL29x1V7DN0dW6xv91/kCqChP2Hn1NPzY2HjpA1n8b7/eqe4wtPO+beHgKemOafWzDfrZtb3qJZqWlhbbtGlTiAy5EA6e4ovri3AYGhoOD4xyy3nQ7U9N3TY9G6xnPnMf5MNXTvtrQevryOBX4SV2hQ3h4Fu99omw+ebIclbZaOPk45jlPrJZL+Ggn7VWq4XfYNje3h6+BEqfCtB7Hfbu3WtbtmyxHTt2hIgo7sB4xqF8uymuJRwKifJTwqHcpbiWcCgkMpwSDj464eDbaLLewkFv2m1ubg6RoI8R6uNgOurTFbt27QqvQa/+nyrhEN9+CIe0D884+EaEg29T+YRw8IkJB99Gk/UUDvp5tT3opYn5+fnw1dNjY2M2MTERLisY9ECoP1McCIdCovyUcCh3Ka7lGYdCovyUcCh3aci1hIPPTDj4Npqst3DQz1xsEwqI4iiH1cFQqBEOhUT5KeFQ7lJcSzgUEuWnhEO5S0OuJRx85uJBgvc4lButx3Aolyi/lnAodymuJRwKifJTwqHcpbiWcCgkMpwSDj464eDbaEI4xH0Ih7gP4ZD24T0OvhHh4NtUPiEcfGLCwbfRhHCI+xAOcR/CIe1DOPhGhINvU/mEcPCJCQffRhPCIe5DOMR9CIe0D+HgGxEOvk3lE8LBJyYcfBtNCIe4D+EQ9yEc0j6Eg29EOPg2lU8IB5+YcPBtNCEc4j6EQ9yHcEj7EA6+EeHg21Q+IRx8YsLBt9GEcIj7EA5xH8Ih7UM4+EaEg29T+YRw8IkJB99GE8Ih7kM4xH0Ih7QP4eAbEQ6+TeUTwsEnJhx8G00Ih7gP4RD3IRzSPoSDb0Q4+DaVTwgHn5hw8G00IRziPoRD3IdwSPsQDr4R4eDbVD4hHHxiwsG30YRwiPsQDnEfwiHtQzj4RoSDb1P5hHDwiQkH30YTwiHuQzjEfQiHtA/h4BsRDr5N5RPCwScmHHwbTQiHuA/hEPchHNI+hINvRDj4NpVPCAefmHDwbTQhHOI+hEPch3BI+xAOvhHh4NtUPiEcfGLCwbfRhHCI+xAOcR/CIe1DOPhGhINvU/mEcPCJCQffRhPCIe5DOMR9CIe0D+HgGxEOvk3lE8LBJyYcfBtNCIe4D+EQ9yEc0j6Eg29EOPg2lU8IB5+YcPBtNCEc4j6EQ9yHcEj7EA6+EeHg21Q+IRx8YsLBt9GEcIj7EA5xH8Ih7UM4+EaEg29T+YRw8IkJB99GE8Ih7kM4xH0Ih7QP4eAbEQ6+TeUTwsEnJhx8G00Ih7gP4RD3IRzSPoSDb0Q4+DaVTwgHn5hw8G00IRziPoRD3IdwSPsQDr4R4eDbVD4hHHxiwsG30YRwiPsQDnEfwiHtQzj4RoSDb1P5hHDwiQkH30YTwiHuQzjEfQiHtA/h4BsRDr5N5RPCwScmHHwbTQiHuA/hEPchHNI+hINvtI7D4a6v0qDJv8+e2cOHf9sXA4P24MED04NlzsPKyorpDrev/3N78uRJ1uUhHOJbgnbclZWn9sOVH23i2jV7+vSf+F9owPTx48d2euSMTU3dNj0w5dyetR2fOnXKNm7caE1NTWH/agBB9Cbk88mnzfbo0aPon2vEcG046HKug7YT3f7U1JSNnj1ncsp90PK8CIeVEOq5lkk+um8eHT1nd+7cDffNuZaluN3/h0PefV3LpMernt6+YvFey+k7a/+VkydP2y83btry8l9Zj0vLy/bn/fvW09Nn9+7NmC7nXKaFxUWbm5u3tvZOW1hYzLo8slhaWrap27+HkKnVallttF5kMj5+xUbPnrfFWi2vz9JyWIbzFy7apcvfh/M5tx3d9vzCgn19bMiuXbtutaWlrD735+bs6NGjtmHDBtu+fbvNzs5m337ks2fPxzY3P599WbR+fr11ywYGBsN60+Vc24/2dd3+xMR1Gxo6EZYn17IUt6vl+e7SZbtw8VtbXKyF5StmjT6Vj5bh2LEhu3Hzpi0sLGRbV8XPLp/eQ/3h/lnn34THrgMH29c+1L/S5ZfCYfibU9bZ1WuH+g5nPfYeOmydXT22v+Wgdff0mS7nXCYVW1d3r7UcaLXunkNZl0UO8ujo7Lb9La3W09uffXm0jlrbOkNY5V4e7bRaX61tHeGYe3m0vrTNaNvROtPy5dyWtV/t3v2Rvfve+/bBh03W3tGVdXkKn8+a91tX95uwb/WH9XTgYFtYb7nXl25f203LgefLk3Pb0W1reV7sW7pvzrs9a18/2NoRtuM34765P9wvt3fk39ef71t9YXleqRTW/OWXwmHNnIsIIIAAAggggEBdgHCoU3AGAQQQQAABBFIChENKiDkCCCCAAAII1AUIhzoFZxBAAAEEEEAgJUA4pISYI4AAAggggEBdgHCoU3AGAQQQQAABBFIChENKiDkCCCCAAAII1AUIhzoFZxBAAAEEEEAgJUA4pISYI4AAAggggEBdgHCoU3AGAQQQQAABBFIChENKiDkCCCCAAAII1AUIhzoFZxBAAAEEEEAgJfAfxa8PzYfltRgAAAAASUVORK5CYII=[/img]
Close

Information: IM 8.4.9 Practice: When Are They the Same?